Roots in extensions of domains or monoids

Gerhard Angermüller

doi:10.1556/012.2019.56.1.1417

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Studia Scientiarum Mathematicarum Hungarica

Volume/Issue:: Volume 56: Issue 1

Roots in extensions of domains or monoids

Author:

Gerhard Angermüller

Gerhard Angermüller
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Pages:: 45–54

Online Publication Date:: Mar 2019

Publication Date:: 01 Mar 2019

Article Category:: Journal Article

DOI:: https://doi.org/10.1556/012.2019.56.1.1417

Keywords:: Root extensions of monoids; finiteness conditions on monoids; root-closed extensions of domains

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Abstract

In this note connections between root extensions of monoids and some finiteness conditions on monoids are studied, giving new proofs and generalizing results of Etingof, Malcolmson and Okoh for domains. In the same spirit, results of Jedrzejewicz and Zielinski on root-closed extensions of domains are generalized and sharpened to monoids. Using the same methods, a criterion for being a completely integrally closed domain is generalized to monoids.

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Studia Scientiarum Mathematicarum Hungarica

Print ISSN:: 0081-6906

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András STIPSICZ (Rényi Institute of Mathematics)
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Andreas HOLMSEN (Korea Advanced Institute of Science and Technology)
Ron HOLZMAN (Technion, Haifa)
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Eran NEVO (Hebrew University of Jerusalem)
János PACH (Rényi Institute of Mathematics)
Péter Pál PACH (BME, Budapest)
Andrew SUK (University of California, San Diego)
Zoltán SZABÓ (Princeton University)
Martin TANCER (Charles University, Prague)
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Studia Scientiarum Mathematicarum Hungarica
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